Elementary Lessons in Logic: Deductive and Inductive : with Copious Questions and Examples, and a Vocabulary of Logical Terms |
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Page vi
... properties of geometrical figures , or the rules of Algebra . Yet every school - boy is made to learn mathematical problems which he will never employ in after life , and is left in total ignorance of those simple principles and forms ...
... properties of geometrical figures , or the rules of Algebra . Yet every school - boy is made to learn mathematical problems which he will never employ in after life , and is left in total ignorance of those simple principles and forms ...
Page 13
... properties common to them all without any of the differences of size , colour , or motion which distin- guish them . Every one allows in the present day how- ever that nothing can physically exist corresponding to a general notion ...
... properties common to them all without any of the differences of size , colour , or motion which distin- guish them . Every one allows in the present day how- ever that nothing can physically exist corresponding to a general notion ...
Page 38
... properties are common to all metals , or nearly all metals , and are what mark out and distinguish a metal from other substances . Hence they form in a certain way the meaning of the name metal , the meaning in intension , as it is ...
... properties are common to all metals , or nearly all metals , and are what mark out and distinguish a metal from other substances . Hence they form in a certain way the meaning of the name metal , the meaning in intension , as it is ...
Page 57
... properties of the materials , and the geometrical properties of the forms which may influence the working of the machine . But he is not expected to go on still further and explain why iron or wood of a particular quality is strong or ...
... properties of the materials , and the geometrical properties of the forms which may influence the working of the machine . But he is not expected to go on still further and explain why iron or wood of a particular quality is strong or ...
Page 58
... properties are really possessed by the figures . Thus the algebraical truth shown above in symbols may be easily proved to hold true of lines and rectangles contained under those lines , as 58 [ LESS . LEIBNITZ ON KNOWLEDGE .
... properties are really possessed by the figures . Thus the algebraical truth shown above in symbols may be easily proved to hold true of lines and rectangles contained under those lines , as 58 [ LESS . LEIBNITZ ON KNOWLEDGE .
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Common terms and phrases
ABCD ambiguous angles animal antecedent applied argument Aristotle assert belong bodies brittle called cause character circumstances combinations common compound conclusion connotation considered consists contains contrapositive conversion copula Crown 8vo defined definition denote disjunctive syllogism distinct distinguished earth Edition effect elementary employed equal exactly example exist experiment explained expressed fact fallacy fallacy of accident false Fcap figure genus geometrical gism give gravitation Greek heat hypothetical hypothetical syllogism Illicit Major Induction inference instance iron kind knowledge known language Latin Laws of Thought LESSON Logic logicians major premise major term material fallacies Mathematical meaning ment metals are elements method middle term mind minor term mode moods moon nature negative notion objects observed particular perfect planets possess predicate properties prove qualities quantity reader reasoning rules sentence simple species substances syllogism theory things tion treated treatise triangle true truth universal verb words
Popular passages
Page 240 - If two or more instances of the phenomenon under investigation have only one circumstance in common, the circumstance in which alone all the instances agree is the cause (or effect) of the given phenomenon.
Page 16 - ... the discussion of such deeper questions of principle as are likely to present themselves to the reflective student in connexion with the methods and processes of his previous course.
Page 316 - Which of you convinceth me of sin ? And if I say the truth, why do ye not believe me? He that is of God heareth God's words : ye therefore hear them not, because ye are not of God.
Page 306 - But the wisdom that is from above is first pure, then peaceable, gentle, and easy to be intreated, full of mercy and good fruits, without partiality, and without hypocrisy.
Page 20 - THE FIRST THREE SECTIONS OF NEWTON'S PRINCIPIA. With Notes and Illustrations. Also a Collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA, late Fellow of St. John's College, Mathematical Lecturer of King's College, Cambridge.
Page 252 - Subduct from any phenomenon such part as is known by previous inductions to be the effect of certain antecedents, and the residue of the phenomenon is the effect of the remaining antecedents.
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Page 20 - Newton, by showing the extent to which they may be applied in the solution of problems ; he has also endeavoured to give assistance to the student who is engaged in the study of the higher branches of Mathematics, by representing in a geometrical form several of the processes employed in the Differential and Integral Calculus, and in the analytical investigations of Dynamics.
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